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附着在柔软基体之上的硬薄膜,在受轴向压缩超过临界值时会发生屈曲,在表面产生褶皱.根据Kirchhoff-Love板理论和最小势能原理,分析了有限尺寸薄膜/无限大基底结构的几何尺寸及材料常数对屈曲行为的影响.结果表明临界屈曲应变随薄膜泊松比或薄膜宽度的增大而增大;当薄膜长度较小时,临界屈曲应变随薄膜长度的改变而呈现振荡式变化,而当薄膜长度较大时,临界屈曲应变趋于定值.同时,薄膜泊松比的增大会导致褶皱幅值略微减小,但不改变幅值与波长之比;薄膜宽度的增加会使得褶皱幅值在沿宽度方向变化更明显;当外加应变较小时,褶皱幅值随弹性常数比的增大而增大,当外加应变较大时,褶皱幅值受弹性常数比的影响变得微弱.
The hard film attached to the flexible substrate buckles when it is compressed beyond the critical value and wrinkles on the surface.According to the theory of Kirchhoff-Love plate and the principle of minimum potential energy, the influence of the finite-size film / infinitesimal base structure The results show that the critical buckling strain increases with the increase of the Poisson’s ratio or the width of the film. When the length of the film is small, the critical buckling strain changes with the length of the film , While the critical buckling strain tends to be constant when the film length is large.At the same time, the increase of the Poisson’s ratio of the film will lead to a slight decrease of the crease amplitude, but it will not change the ratio of the amplitude and the wavelength.With the increase of the film width, When the applied strain is small, the amplitude of the wrinkle increases with the increase of the elastic constant ratio. When the applied strain is larger, the amplitude of the wrinkle becomes weak due to the elastic constant ratio .